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Finding the Fourth Proportional to 275,705.48, 413,560.38 and 150,978.44

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Solution

The fourth proportional to 275,705.48, 413,560.38 and 150,978.44 is: 226,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,705.48 : 413,560.38 = 150,978.44 : x
  2. Step 2: Convert to fraction form
    275,705.48/413,560.38 = 150,978.44/x
  3. Step 3: Cross multiply
    275,705.48x = 413,560.38 × 150,978.44
  4. Step 4: Simplify right side
    275,705.48x = 62,438,701,018.21
  5. Step 5: Solve for x
    x = 62,438,701,018.21/275,705.48
  6. Step 6: Final answer
    x = 226,468.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.